08/03/2019, 10:00 — 12:00 — Room P3.10, Mathematics Building
Moritz Reintjes, Instituto Superior Técnico
Introduction to the Theory of Shock Waves (VI)
I plan to cover the following topics: Euler equations; Burger's equation; $p$-system; symmetric hyperbolic PDEs; shock formation; Lax method of solving Riemann problems; Glimm's method for solving Cauchy problems; Entropy solutions; artificial viscosity.
- Joel Smoller, Shock waves and Reaction Diffusion Equations.
- Constantine Dafermos, Hyperbolic Conservation Laws in Continuum Physics.
- Alexandre Chorin and Jerrold Marsden, A Mathematical Introduction to Fluid Mechanics.
- Lecture notes of Blake Temple.
Planned duration: 6 x 1.5 hours.